Conjugate Duality in Set-Valued Vector Optimization
نویسندگان
چکیده
منابع مشابه
Optimization with set relations: Conjugate Duality
The aim of this paper is to develop a conjugate duality theory for convex set–valued maps. The basic idea is to understand a convex set–valued map as a function with values in the space of closed convex subsets of R. The usual inclusion of sets provides a natural ordering relation in this space. Infimum and supremum with respect to this ordering relation can be expressed with aid of union and i...
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Article history: Received 27 June 2007 Accepted 23 February 2008 Available online 8 March 2008
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Kuhn-Tucker condition (0, 0) e dK(x, y) into a more explicit and familiar form. Writing where -k(y) = /0(x) + ylfl(x] + • • • + ymfm(x) and P is the nonnegative orthant in R, we see from the example following Theorem 20 that the condition 0 e dyK(x, y) holds if and only if the vector On the other hand, for y e P we have by Theorem 20, assuming for example that f{ is a continuous function for i ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1997
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5676